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Finding the Fourth Proportional to 451.76, 677.55 and 127.05

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Solution

The fourth proportional to 451.76, 677.55 and 127.05 is: 190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 677.55 = 127.05 : x
  2. Step 2: Convert to fraction form
    451.76/677.55 = 127.05/x
  3. Step 3: Cross multiply
    451.76x = 677.55 × 127.05
  4. Step 4: Simplify right side
    451.76x = 86,082.73
  5. Step 5: Solve for x
    x = 86,082.73/451.76
  6. Step 6: Final answer
    x = 190.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.